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Without using trigonometric tables, find the value of each of the expressions given below:
\[
\left\{\frac{\cos 65^{\circ}}{\sin 25^{\circ}}+\frac{\operatorname{cosec} 34^{\circ}}{\sec 56^{\circ}}-\frac{2 \cos 43^{\circ} \operatorname{cosec} 47^{\circ}}{\tan 10^{\circ} \tan 40^{\circ} \tan 50^{\circ} \tan 80^{\circ}}\right\}
\]
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